260177200416 has 1152 divisors, whose sum is σ = 996149145600. Its totient is φ = 65719019520.

The previous prime is 260177200333. The next prime is 260177200463. The reversal of 260177200416 is 614002771062.

260177200416 is a `hidden beast` number, since 2 + 601 + 7 + 7 + 2 + 0 + 0 + 41 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6345785356 + ... + 6345785396.

It is an arithmetic number, because the mean of its divisors is an integer number (864712800).

Almost surely, 2^260177200416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260177200416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498074572800).

260177200416 is an abundant number, since it is smaller than the sum of its proper divisors (735971945184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

260177200416 is an equidigital number, since it uses as much as digits as its factorization.

260177200416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

Adding to 260177200416 its reverse (614002771062), we get a palindrome (874179971478).

The spelling of 260177200416 in words is "two hundred sixty billion, one hundred seventy-seven million, two hundred thousand, four hundred sixteen".